On Tuesday, 730 more men than women attended a concert. On Wednesday, the number of men decreased by 20% and the number of women increased by 70%. 1484 audience attended the concert on Wednesday. If each ticket cost $13, how much money was collected from the sale of concert tickets to all the women?
|
Men |
Women |
Comparing between the men and the women at first |
730 more |
|
Before |
5x2 |
+ 730 |
10x1 |
Change |
- 1x2 |
- 146 |
+ 7x1 |
After |
4x2 |
+ 584 |
17x1 |
|
Men |
Women |
Before |
10 u + 730 |
10 u |
Change |
- 2 u - 146 |
+ 7 u |
After |
8 u + 584 |
17 u |
20% =
20100 =
15 70% =
70100 =
710 20% x 730
=
20100 x 730
= 146
730 - 146 = 584
Total number of tickets sold on Wednesday
= 8 u + 584 + 17 u
= 25 u + 584
25 u + 584 = 1484
25 u = 1484 - 584
25 u = 900
1 u = 900 ÷ 25 = 36
Total number of tickets sold to all the women
= 10 u + 17 u
= 27 u
= 27 x 36
= 972
Amount collected from the sale of concert tickets to all the women
= 972 x 13
= $12636
Answer(s): $12636